February 2017 (Port in a Storm)
December 2016 (Galaxy on Fire)
October 2016 (Shelter in Place)
August 2016 (Matchup)
June 2016 (Elevators)
April 2016 (Cell Towers)
February 2016 (Toy builder)
December 2015 (Crazy Cake)
October 2015 (Racecar design)
August 2015 (Moon Rover)
June 2015 (Campsite)
April 2015 (Desert Island)
February 2015 (Coins)
December 2014 (Electrifying)
October 2014 (Fighters)
August 2014 (Good Burger)
June 2014 (Frog and Fly)
April 2014 (Spy Catcher)
February 2014 (Pizza Delivery)
December 2013 (Golf Queuing)
October 2013 (Chutes and Ladders)
August 2013 (Urban Planning)
June 2013 (Self Driving Cars)
April 2013 (Subs vs. Battleships)
February 2013 (Chandelier Balancing)
December 2012 (Cookie Bake Off)
October 2012 (FarmOR)
August 2012 (Combination Locks)
June 2012 (Lost at Sea)
April 2012 (McEverywhere)
February 2012 (Popsicle Scheduling)
December 2011 (Dice Game)
October 2011 (Movie Stars)
August 2011 (Logical Hospital)
June 2011 (Matchmaker)
April 2011 (Choose Your Crew)
February 2011 (Best Host)
December 2010 (Miniopoly)
October 2010 (Home Improvement)
August 2010 (Relief Mission)
June 2010 (SurvivOR)
April 2010 (Patient 21)
February 2010 (Planet Colonization)
December 2009 (Fish Finder)
October 2009 (Connected & Infected)
August 2009 (Bridges)
June 2009 (Grocery Queuing)
April 2009 (Dance Scheduling)
February 2009 (Supply & Demand)
December 2008 (5x5 Poker)
October 2008 (3DPP)
August 2008 (Markov's Prison)
June 2008 (TSP)
April 2008 (Scheduling)
February 2008 (Decision Trees)
About the PuzzlOR
Analytics Treasure Hunt 2012
The PuzzlOR
Decision Support Puzzles for Applied Mathematicians
August 2010 - Relief Mission

Coordinating relief efforts after catastrophes such as civil unrest and natural disasters can be a logistically complex challenge.  Delivering relief to people in need is the immediate focus of any disaster management plan.

The map in Figure 1 shows the locations of 20 villagers, each represented by a ‘hut’ icon.  The villagers are in need of relief supplies contained in the crates attached to parachutes.  There are two identical relief packages available.  The only delivery option is by air drop.  Each package can be dropped on any cell.

After the crates are dropped, each villager will walk to the nearest drop location to pick up relief supplies.  Use a direct line between cells to calculate travel distance.  For example, the distance between A1 and A2 is 1km and the distance between A1 to B2 is 1.41 km.  Assume that each crate contains an unlimited amount of relief supplies.

Question:  Which two drop locations will minimize the total distance that all villagers must travel?

Send your answer to puzzlor@gmail.com by October 15th, 2010.  The winner, chosen randomly from correct answers, will receive an “O.R. The Science of Better” T-shirt.  Congratulations to Joseph Zhou for correctly solving April’s Patient 21 PuzzlOR.  Past questions can be found at puzzlor.com.
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